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10224431112 = 2337377123167
BaseRepresentation
bin10011000010110110…
…00111000000001000
3222101120001220201210
421201123013000020
5131414423243422
64410321013120
7511241142030
oct114133070010
928346056653
1010224431112
114377474475
121b941841a0
13c6c349a4c
146cdca48c0
153ec94110c
hex2616c7008

10224431112 has 128 divisors (see below), whose sum is σ = 30426071040. Its totient is φ = 2802159360.

The previous prime is 10224431099. The next prime is 10224431143. The reversal of 10224431112 is 21113442201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429753 + ... + 452919.

It is an arithmetic number, because the mean of its divisors is an integer number (237703680).

Almost surely, 210224431112 is an apocalyptic number.

10224431112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224431112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213035520).

10224431112 is an abundant number, since it is smaller than the sum of its proper divisors (20201639928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10224431112 is a wasteful number, since it uses less digits than its factorization.

10224431112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23291 (or 23287 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10224431112 its reverse (21113442201), we get a palindrome (31337873313).

The spelling of 10224431112 in words is "ten billion, two hundred twenty-four million, four hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 71 74 84 111 142 148 168 213 222 259 284 296 426 444 497 518 568 777 852 888 994 1036 1491 1554 1704 1988 2072 2627 2982 3108 3976 5254 5964 6216 7881 10508 11928 15762 18389 21016 23167 31524 36778 46334 55167 63048 69501 73556 92668 110334 139002 147112 162169 185336 220668 278004 324338 441336 486507 556008 648676 857179 973014 1297352 1644857 1714358 1946028 2571537 3289714 3428716 3892056 4934571 5143074 6000253 6579428 6857432 9869142 10286148 11513999 12000506 13158856 18000759 19738284 20572296 23027998 24001012 34541997 36001518 39476568 46055996 48002024 60859709 69083994 72003036 92111992 121719418 138167988 144006072 182579127 243438836 276335976 365158254 426017963 486877672 730316508 852035926 1278053889 1460633016 1704071852 2556107778 3408143704 5112215556 10224431112